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Simplifying 13 + 2w = 5(10 + 7w) 13 + 2w = (10 * 5 + 7w * 5) 13 + 2w = (50 + 35w) Solving 13 + 2w = 50 + 35w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35w' to each side of the equation. 13 + 2w + -35w = 50 + 35w + -35w Combine like terms: 2w + -35w = -33w 13 + -33w = 50 + 35w + -35w Combine like terms: 35w + -35w = 0 13 + -33w = 50 + 0 13 + -33w = 50 Add '-13' to each side of the equation. 13 + -13 + -33w = 50 + -13 Combine like terms: 13 + -13 = 0 0 + -33w = 50 + -13 -33w = 50 + -13 Combine like terms: 50 + -13 = 37 -33w = 37 Divide each side by '-33'. w = -1.121212121 Simplifying w = -1.121212121
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